Elements of Natural Philosophy, Volume 1 |
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Page 4
... remains constant , however the line be bent . 17. The use of a cord in mechanism presents us with many practical applications of this theory , which are in general extremely simple ; although curious , and not always very easy ...
... remains constant , however the line be bent . 17. The use of a cord in mechanism presents us with many practical applications of this theory , which are in general extremely simple ; although curious , and not always very easy ...
Page 9
... remain unchanged , yet if its di- rection of motion change , the resolved parts of its velocity in fixed directions will , in general , be accelerated . And as acceleration is merely a change of the component velocity in a stated ...
... remain unchanged , yet if its di- rection of motion change , the resolved parts of its velocity in fixed directions will , in general , be accelerated . And as acceleration is merely a change of the component velocity in a stated ...
Page 12
... remains unchanged ; and therefore , in time t , a space Vt is described parallel to this line . But in the same interval , by the above reasoning , we see that a space at2 is described parallel to the direction of acceleration . C B P ...
... remains unchanged ; and therefore , in time t , a space Vt is described parallel to this line . But in the same interval , by the above reasoning , we see that a space at2 is described parallel to the direction of acceleration . C B P ...
Page 16
... remain fixed , or at all events parallel to itself , a somewhat more laboured statement is required to give a complete specification of the motion . 55. The unit angular velocity is that of a point which describes , or would describe ...
... remain fixed , or at all events parallel to itself , a somewhat more laboured statement is required to give a complete specification of the motion . 55. The unit angular velocity is that of a point which describes , or would describe ...
Page 18
... remain the same with regard to it as before . Thus , to take a very simple example , two trains are running in opposite directions , say north and south , one with a velocity of fifty , the other of thirty , miles an hour . The relative ...
... remain the same with regard to it as before . Thus , to take a very simple example , two trains are running in opposite directions , say north and south , one with a velocity of fifty , the other of thirty , miles an hour . The relative ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centimetre centre of gravity centre of inertia circle circular cloth co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance elements ellipse ellipsoid elongation equal equations equilibrium external point Extra fcap finite flexure fluid forces acting friction geometrical given force Hence hodograph horizontal infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving Natural Philosophy normal section Oxford P₁ parallel particle path pendulum perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular resultant right angles rigid body rotation round shear shell sides simple harmonic motion solid angle space spherical surface spiral square straight line strain stress suppose tangent theory tion torsion uniform unit vertical whole wire
Popular passages
Page 161 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.
Page 65 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by force to change that state.
Page 28 - Fourier's theorem is not only one of the most beautiful results of modern analysis, but may be said to furnish an indispensable instrument in the treatment of nearly every recondite question in modern physics.
Page 161 - Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.
Page 66 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Page 68 - To every action there is always an equal and contrary reaction; or, the mutual actions of any two bodies are always equal and oppositely directed in the same straight line.
Page 130 - UNTIL we know thoroughly the nature of matter and the forces which produce its motions, it will be utterly impossible to submit to mathematical reasoning the exact conditions of any physical question.